Pith Number

pith:2NXXRQIG

pith:2021:2NXXRQIGDODGZYDMVCUCBGFCUL

not attested not anchored not stored refs pending

On the $q$-analogue of the pair correlation conjecture via Fourier optimization

Emily Quesada-Herrera

arxiv:2108.10238 v2 · 2021-08-23 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NXXRQIGDODGZYDMVCUCBGFCUL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:42:21.725482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36f78c1061b866ce06ca8a82098a2a2c1e6d1d4c753ddb21a252508a511b6ad

Aliases

arxiv: 2108.10238 · arxiv_version: 2108.10238v2 · doi: 10.48550/arxiv.2108.10238 · pith_short_12: 2NXXRQIGDODG · pith_short_16: 2NXXRQIGDODGZYDM · pith_short_8: 2NXXRQIG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2NXXRQIGDODGZYDMVCUCBGFCUL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d36f78c1061b866ce06ca8a82098a2a2c1e6d1d4c753ddb21a252508a511b6ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe0b50a994217e6bbc5538bc826f12dd92d2adca2ecb5fa67bfdd054ab3cda2",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-23T15:21:58Z",
    "title_canon_sha256": "a10034a89fe43cbfc8f6766dfbc94c979f2f4e6bb9e7d39e4e8b380206b48305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10238",
    "kind": "arxiv",
    "version": 2
  }
}